Coxeter groups and hyperbolic manifolds

被引：11
作者：
Everitt, B [1 ]
机构：
[1] Univ York, Dept Math, York YO10 5DD, N Yorkshire, England
来源：
MATHEMATISCHE ANNALEN | 2004年 / 330卷 / 01期
关键词：
Manifold; Small Volume; Finite Volume; Coxeter Group; Hyperbolic Manifold;
D O I：
10.1007/s00208-004-0543-0
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The theory of Coxeter groups is used to provide an algebraic construction of finite volume hyperbolic manifolds. Combinatorial properties of finite images of these groups can be used to compute the volumes of the resulting manifolds. Three examples, in 4,5 and 6-dimensions, are given, each of very small volume, and in one case of smallest possible volume.
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页码：127 / 150
页数：24
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